Structured tensor tuples to polynomial complementarity problems

Tong-tong Shang () and Guo-ji Tang ()
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Tong-tong Shang: Guizhou University
Guo-ji Tang: Guangxi Minzu University

Journal of Global Optimization, 2023, vol. 86, issue 4, No 3, 867-883

Abstract: Abstract It is well known that structured tensors play an important role in the investigation of tensor complementarity problems. The polynomial complementarity problem is a natural generalization of the tensor complementarity problem. Similar to the investigation of tensor complementarity problems, it is believed that structured tensor tuples will play an important role in the investigation of polynomial complementarity problems. In the present paper, several classes of structured tensor tuples are introduced and the relationships between them are discussed. By using the structured tensor(s) (tuples), the uniqueness of the solution and the global upper bound of the solution set of the polynomial complementarity problem are investigated. The results presented in the present paper generalize the corresponding those in the recent literature.

Keywords: Structured tensor tuple; Polynomial complementarity problem; Uniqueness; Global upper bound; (Strictly) semi-positivity; 90C33; 90C23 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10898-023-01302-y

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